667 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 667 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 667 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 667 by 16⁰, multiply the second to last digit in 667 by 16¹, multiply the third to last digit in 667 by 16², multiply the fourth to last digit in 667 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
6 × 16¹ = 96
6 × 16² = 1536

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

7 + 96 + 1536 = 1639

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

1639 ÷ 2 = 819 with 1 remainder
819 ÷ 2 = 409 with 1 remainder
409 ÷ 2 = 204 with 1 remainder
204 ÷ 2 = 102 with 0 remainder
102 ÷ 2 = 51 with 0 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 667 hexadecimal to binary:

667 hexadecimal = 11001100111 binary

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668 hexadecimal to binary
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